Vectors & 3D Lab 🧭

Vectors ko visually feel karo — addition, dot product, cross product, aur 3D geometry sab interactive!

➕ Lab 1: Vector Addition — Triangle Law

Dono vectors ke arrows ka tip drag karo. Resultant (violet arrow) update hota rahega. Triangle Law: A + B = R

● Lab 2: Dot Product — Angle aur Projection

Angle slider se vectors rotate karo. Dekho: jab angle=90°, dot product=0! Projection aur cos θ ka relation visually samjho.

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✕ Lab 3: Cross Product = Parallelogram ka Area

Vectors adjust karo. |A × B| = |A||B|sin θ = parallelogram ka area. Jab parallel hoon toh area=0!

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🌐 Lab 4: 3D Vector — Direction Cosines

Sliders se 3D vector change karo. Dekho axes par projections aur direction cosines (l,m,n). l²+m²+n²=1 hamesha!

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